Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Depth zero Boolean algebras
HTML articles powered by AMS MathViewer

by Asher M. Kach PDF
Trans. Amer. Math. Soc. 362 (2010), 4243-4265 Request permission

Abstract:

We study the class of depth zero Boolean algebras, both from a classical viewpoint and an effective viewpoint. In particular, we provide an algebraic characterization, constructing an explicit measure for each depth zero Boolean algebra and demonstrating there are no others, and an effective characterization, providing a necessary and sufficient condition for a depth zero Boolean algebra of rank at most $\omega$ to have a computable presentation.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 03D45
  • Retrieve articles in all journals with MSC (2000): 03D45
Additional Information
  • Asher M. Kach
  • Affiliation: Department of Mathematics, University of Connecticut, Storrs, Connecticut 06269
  • Email: kach@math.uconn.edu
  • Received by editor(s): June 9, 2008
  • Published electronically: March 23, 2010
  • Additional Notes: The author thanks his thesis advisor, Steffen Lempp, for all his guidance and suggestions; Christopher Alfeld, Robert Owen, and Daniel Turetsky for numerous conversations, comments, and corrections; and the anonymous referee for his/her comments.
  • © Copyright 2010 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Trans. Amer. Math. Soc. 362 (2010), 4243-4265
  • MSC (2000): Primary 03D45
  • DOI: https://doi.org/10.1090/S0002-9947-10-05002-6
  • MathSciNet review: 2608405